# TSI Math: Multiplying Probabilities

There are 100 tiles in a bag of Scrabble tiles. Four of them are S's. If Akshay draws one tile, looks at it, puts it back, and then draws one tile again, what is the probability that he will draw an S both times?

Data Analysis, Statistics, and Probability | Probabilistic Reasoning |

Mathematics and Statistics Assessment | Probabilistic Reasoning |

Product Type | TSI |

TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |

TSI Math | Data Analysis, Statistics, and Probability |

TSI Mathematics | Data Analysis, Statistics, and Probability |

Test Prep | TSI |

### Transcript

he will draw in s both times We love us

some scrabble here it's month Our preferred dictionary is a

little weird though it's got words like quickie bow and

park nerf and needless to say we kill it when

we play scrabble Well this bag has a hundred scrabble

tiles and only four of them are letter asked if

action is drawing a tile at random and replacing it

that means each time he reaches into the bag there

will be a hundred tiles with for s is In

other words the probability of drawing an ass will always

be for one hundred or one out of twenty five

or point oh four or about four percent each time

as long as he tosses the tile he took back

in before he draws again So to find the probability

of getting an ass followed by another asked multiply those

two probabilities together and you've got a point Oh four

times point oh for his point o o one six

So action has a point One six percent chance of

getting and ask followed by an s the better question

would be how likely are we to get a mad

followed by a brew If dr seuss says they're letters 00:01:20.348 --> [endTime] or words Well who are we to argue